GATE EE 2021 : Subject Revision Quiz 3 (App update required to attempt this test)

The transfer function of a second order closed loop system is given as. Find the resonant frequency and resonant peak?

Consider the compensation network as shown in the figure below

What is the maximum phase provided by the network.

Four distinct coloured LEDs are used for displaying different coloured light. These lights are cycle from 1^st colour to 2^nd colour, 2^nd colour to 3^rd colour, 3^rd colour to 4^th colour and 4^th colour to first colour. The ON time delay for first colour LED is 10 nsec, 2^nd LED is 15 nsec, 3^rd LED is 25 nsec and 4^th LED is 30 nsec. These circuits has to be implemented with finite state machine (FSM). The only input to this FSM is the clock frequency of 2 GHz. The minimum no of flipflops required to implement this FSM is ____________.

A 3-phase, synchronous generator is having synchronous impedance of 0.8 pu. It is supplying maximum real power of 0.7 pu at rated voltage. Its excitation emf is of 1.4 pu. Then the generator in this condition:

If P(t) = 100sin(100t +30°) and Q(t) = 100cos(ω₂t + 30°) is applied on x and y plates of CRO and ‘∞’ symbol pattern is obtained, then what is the value of ω_{2____}rad/sec.

A 3-phase, Y-synchronous generator has a reactance of 0.5 pu. It is supplying rated current at rated voltage with 0.8 p.f. lagging. Now if is its excitation is increased by 10% by keeping constant power. The power factor of an alternator will be:

The starting current of a star-connected, 3-phase induction motor at rated voltage is 6 times the full load current and full load slip of 5%. Auto-transformer is used to limit the starting current from mains to 4 times the full load current. Determine the ratio of starting torque to the full load torque.

Two identical unloaded generators are connected in parallel as shown below. Both the generators are having positive, negative and zero sequence impedance of j0.8 p.u., j0.2 p.u. and j0.3 p.u. respectively. If pre-fault voltage is 1 p.u. for a line to ground fault at the terminals of the generator, the fault current magnitude (in p.u.) is ___________. (Assume neutral impedance, Z_n = j0.02 p.u.)

In a two bus AC system, the sending end voltage, V_s and receiving end voltage, V_r for the line is 1 p.u. The line reactance is j0.06 p.u. and the resistance is neglected. If the real power flow through the line is 8 p.u., find the reactive power absorbed by the line is _________.

A 3-phase full converter, fed from 3-phase, 400 V, 50 Hz source is connected to load R = 10 Ω, E = 350 V and large inductance so that output current is ripple free. The power delivered to load for firing advance angle of 60° is:

A Boost converter is shown in the following circuit.

If V_dc = 20 V, V₀ = 50 V, R = 50 Ω, L = 20 μH and ∝ = 0.5

Then the converter will operate at a switching frequency (in kHz)

The switch in the figure has been open for a long time before it closes at t = 0. The current i(t) at time ‘t’ after the switch is closed is

Let the fourier transform of a signal x(t) be X(jω).

Then the value of X(0) is ______.

Two 22 kV, 30 MVA, 3-ϕ star connected generator operating in parallel. The positive negative and zero sequence reactance of each being j0.2, j0.15, j0.12 p.u. Both generator neutral is solidly grounded. An LLG Fault occurs on the generator. Find the current in the phase B. (line B and Y are grounded)